Mathematics and Mathematical Literacy - Thutong

Mathematics(NSC)/Grade 11/ P2 21 ExemplarQUESTION 3A triangle with vertices A (3;5); B (8;4) and C (2;2) is drawn. A copy of this diagram appears onyour diagram sheet.6543yA (3;5)B (8;4)2C (2;2)1-8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8-1x3.1 Give the co-ordinates of the vertices of the image A ' B'C' of ∆ ABC when it isrotated 90 degrees anti-clockwise around the origin.(5)3.2 Complete the generalisation of this transformation:( x ; y)⎯→(..........; ..........)(2)3.3 Find the equation of the perpendicular bisector of BB ' . (5)3.4 Given that the equation of AA ' is y = -4x, show that AA ' and BB ' intersect at thecentre of rotation. (3)3.5 Give the co-ordinates of the vertices of A'' B''C''if it is the image of ∆ABCwhen it is rotated through an angle of 180°.(3)[18]Copyright reserved